ENGLISH

Cylindric-like Algebras and Algebraic Logic

By István Németi (auth.) , Hajnal Andréka , Miklós Ferenczi , István Németi (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-35024-5, 978-3-642-35025-2
DOI
10.1007/978-3-642-35025-2
Language
english
Format
PDF
Filesize
3 MB (3150844 bytes)
Series
Bolyai Society Mathematical Studies 22
Edition
1
Pages
466\457
Topic
Mathematics Logic
Time added
2014-02-12 18:00:00
Mathematical Logic and Foundations; Algebra; Combi

Description

Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.​

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